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rad to deg Converter

Quick radians to degrees converter for trigonometry and angle calculations.

What this tool does

Quick radians to degrees converter for trigonometry and angle calculations. Type an amount in radians, choose the units, and the tool converts it to degrees. It offers 4 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Radian, Degree, Gradian (gon), Turn (revolution). Starts as Radian.
  • To: Choose one of the same 4 units as "From". Starts as Degree.

How to use

  1. Enter the amount you want to convert.
  2. Choose the unit to convert from and the unit to convert to.
  3. Read the result: the converted amount and the same amount in the other units. It appears once every required field has a valid value.

Worked examples

Conversions from radians to degrees:

  • 1 rad ≈ 57.29578°
  • 5 rad ≈ 286.478898°
  • 10 rad ≈ 572.957795°
  • 50 rad ≈ 2,864.788976°
  • 100 rad ≈ 5,729.577951°

Multiply the number of radians by about 57.29578 to get degrees. The factor follows from exact definitions. It has more digits than fit here, so it is shown rounded.

Sources: Radian: SI Brochure, 9th edition (2019). Degree: SI Brochure, 9th edition (2019), Table 8.

Limitations

  • Converts the size of an angle between units only. It does not work out angles from side lengths or slopes.
  • Turn and revolution are the same unit here: one full circle.

FAQs

Q: How do I convert radians to degrees?
A: Enter the value, choose radian as the From unit and degree as the To unit. The result appears along with the same angle in the other listed units. To go the other way, swap the two units.
Q: How many degrees are in one radian?
A: One radian is about 57.2958 degrees. A half turn, 180 degrees, is pi radians, about 3.14159.
Q: Can I convert the other way?
A: Yes. Swap the From and To units to convert degrees to radians.

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